MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Please answer the questions in the photo. Thank You!arrow_forwardThe corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.arrow_forwardUse technology and a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ>79; α=0.10 Sample statistics: x=80.2, s=3.7, n=28 What are the null and alternative hypotheses? Choose the correct answer below. A. H0:μ≠79 HA:μ=79 B. H0:μ=79 HA:μ≠79 C. H0:μ≤79 HA:μ>79 D. H0:μ≥79 HA:μ<79 What is the value of the standardized test statistic?= What is the P-value of the test statistic?= Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject H0. There is enough evidence to support the claim. Your answer is correct. B. Reject H0. There is not enough evidence to support the claim. C. Fail to reject H0. There is enough evidence to support the claim. D. Fail to reject H0. There is not enough…arrow_forward
- A population of values has a normal distribution with u = 36 and o = 31.3. You intend to draw a random sample of size n = 12. Please answer the following questions, and show your answers to 1 decimal place. Find the value separating the bottom 11% values from the top 89% values. Find the sample mean separating the bottom 11% sample means from the top 89% sample means.arrow_forwarduse the t- distribution and the sample results to complete the test of the hypothesis. use a 5% significance level. Assume the results come from a random sample , and if the sample size is small, assume the underlying distribution is relatively normal . H0: miu=4 vs Ha: miu not equal to 4 using the sample results x bar =4.8 s= 2.3 with n=15. WHAT IS THE P-VALUE?arrow_forwardTest the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: p= 30; a=0.06; o= 3.25. Sample statistics: x= 28.9, n= 73 %3D OF Ho H= 30 H3 p 30 Calculate the standardized test statistic. The standardized test statistic is -2.89 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical values are t O B. The critical value isarrow_forward
- This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.arrow_forwardTest the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.arrow_forwardUse the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?arrow_forward
- Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.07; σ=205.81. Sample statistics: x=1263.09, n=250 Calculate the standardized test statistic. The standardized test statistic is enter your response here . (Round to two decimal places as needed.)arrow_forwardThe corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use ? = 0.01 and assume normality. n = 36, Σd = 227, Σd2 = 6244(a) Find t. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer correct to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that the coating is beneficial.Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial.Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.arrow_forwardWhat is the standardized test statistic t for a sample with n = 12, xbar = 30.2, s = 2.2, and α = 0.01 if H0: µ =29? Round your answer to the nearest thousandth.arrow_forward
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